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Finding the Fourth Proportional to 578.17, 866.58 and 304.39

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Solution

The fourth proportional to 578.17, 866.58 and 304.39 is: 456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.17 : 866.58 = 304.39 : x
  2. Step 2: Convert to fraction form
    578.17/866.58 = 304.39/x
  3. Step 3: Cross multiply
    578.17x = 866.58 × 304.39
  4. Step 4: Simplify right side
    578.17x = 263,778.29
  5. Step 5: Solve for x
    x = 263,778.29/578.17
  6. Step 6: Final answer
    x = 456.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.